Abstract: A method for use in improving marine seismic data quality includes: designing a filter for suppressing the effect of a ghost reflection in a set of stacked, marine seismic data representative of a subterranean formation, the filter compensating for amplitude due to the presence of the ghost reflection separately from the phase due to the presence of the ghost reflection; and applying the filter to the seismic data to suppress the effect of ghost reflection. The designing includes: iteratively defining at least one parameter of the filter and applying the defined filter to the seismic data; evaluating each iteration of the filter's application to at least a subset of the seismic data; and selecting a defined filter from one of the evaluated iterations.